TSTP Solution File: SYO896_7 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 11:18:36 EDT 2023

% Result   : Theorem 2.73s 1.62s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   24 (  11   ~;   6   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    6 (   6 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (;   4   !;   1   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
%$ q > p > #nlpp > #skF_1

%Foreground sorts:
tff($ki_world,type,
    $ki_world: $tType ).

%Background operators:

%Foreground operators:
tff(p,type,
    p: $ki_world > $o ).

tff(q,type,
    q: $ki_world > $o ).

tff('#skF_1',type,
    '#skF_1': $ki_world ).

tff(f_49,negated_conjecture,
    ~ ( ( ! [W: $ki_world] :
            ( $ki_accessible($ki_local_world,W)
           => ( p(W)
             => q(W) ) )
        & ! [W: $ki_world] :
            ( $ki_accessible($ki_local_world,W)
           => ( p(W)
             => ~ q(W) ) ) )
     => ~ ? [W: $ki_world] :
            ( $ki_accessible($ki_local_world,W)
            & p(W) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(c_2,plain,
    p('#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_4,plain,
    $ki_accessible($ki_local_world,'#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_9,plain,
    ! [W_3: $ki_world] :
      ( q(W_3)
      | ~ p(W_3)
      | ~ $ki_accessible($ki_local_world,W_3) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_12,plain,
    ( q('#skF_1')
    | ~ p('#skF_1') ),
    inference(resolution,[status(thm)],[c_4,c_9]) ).

tff(c_15,plain,
    q('#skF_1'),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12]) ).

tff(c_16,plain,
    ! [W_4: $ki_world] :
      ( ~ q(W_4)
      | ~ p(W_4)
      | ~ $ki_accessible($ki_local_world,W_4) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_19,plain,
    ( ~ q('#skF_1')
    | ~ p('#skF_1') ),
    inference(resolution,[status(thm)],[c_4,c_16]) ).

tff(c_23,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_15,c_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.18/0.36  % Computer : n005.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Thu Aug  3 15:57:42 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 2.73/1.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.62  
% 2.73/1.62  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.79/1.65  
% 2.79/1.65  Inference rules
% 2.79/1.65  ----------------------
% 2.79/1.65  #Ref     : 0
% 2.79/1.65  #Sup     : 2
% 2.79/1.65  #Fact    : 0
% 2.79/1.65  #Define  : 0
% 2.79/1.65  #Split   : 0
% 2.79/1.65  #Chain   : 0
% 2.79/1.65  #Close   : 0
% 2.79/1.65  
% 2.79/1.65  Ordering : KBO
% 2.79/1.65  
% 2.79/1.65  Simplification rules
% 2.79/1.65  ----------------------
% 2.79/1.65  #Subsume      : 0
% 2.79/1.65  #Demod        : 3
% 2.79/1.65  #Tautology    : 0
% 2.79/1.65  #SimpNegUnit  : 0
% 2.79/1.65  #BackRed      : 0
% 2.79/1.65  
% 2.79/1.65  #Partial instantiations: 0
% 2.79/1.65  #Strategies tried      : 1
% 2.79/1.65  
% 2.79/1.65  Timing (in seconds)
% 2.79/1.65  ----------------------
% 2.79/1.65  Preprocessing        : 0.43
% 2.79/1.65  Parsing              : 0.26
% 2.79/1.65  CNF conversion       : 0.02
% 2.79/1.65  Main loop            : 0.14
% 2.79/1.65  Inferencing          : 0.07
% 2.79/1.65  Reduction            : 0.02
% 2.79/1.65  Demodulation         : 0.02
% 2.79/1.65  BG Simplification    : 0.01
% 2.79/1.65  Subsumption          : 0.03
% 2.79/1.65  Abstraction          : 0.00
% 2.79/1.65  MUC search           : 0.00
% 2.79/1.65  Cooper               : 0.00
% 2.79/1.65  Total                : 0.62
% 2.79/1.65  Index Insertion      : 0.00
% 2.79/1.65  Index Deletion       : 0.00
% 2.79/1.65  Index Matching       : 0.00
% 2.79/1.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------